色噪声驱动的肿瘤细胞增长系统的瞬态性质：平均首通时间  

Transient properties of a tumor cell growth system driven by color Gaussian noises:Mean first-passage time

作　　者：王参军[1] 魏群[1] 郑宝兵[1] 梅冬成[2] 

机构地区：[1]宝鸡文理学院非线性研究所,宝鸡721007 [2]云南大学物理系,昆明650091

出　　处：《物理学报》2008年第3期1375-1380,共6页Acta Physica Sinica

基　　金：云南省自然科学基金(批准号:2006A0002M);宝鸡文理学院重点项目(批准号:Zk0697)资助的课题~~

摘　　要：研究了受色高斯噪声驱动的肿瘤细胞增长系统的瞬态态性质(平均首通时间T).据Novikov定理和Fox近似方法得到相应的Fokker-Planck方程,使用最快下降法得到了肿瘤细胞增长系统的平均首通时间的解析表达式.经过数值计算,结果表明:肿瘤增长系统的T在正关联(0<λ<1,λ为关联噪声强度)和负关联(-1<λ<0)呈现出不同的特性.正关联时,噪声强度和对应的关联时间在态转化过程中起着相反的作用;然而,负关联时,肿瘤增长系统的T呈现出复杂的行为,即随着乘性噪声强度D和其自关联时间τ1的增长,T拥有一个极大值.The transient properties （ mean first passage time T ） of the tumor cell growth system driven by color Gaussian noise are investigated. The approximate Fokker-Planck Equation is obtained based on the Novikov theorem and the Fox approach and the explicit expression of the mean first passage time is derived. The numerical computation results show that T behaves with different characters in the cases of 0 〈 λ 〈 1 and - 1 〈 λ 〈 0, respectively. When 0 〈 λ 〈 1, the noise intensity and corresponding correlation time play opposite roles in the state transition. However, when -1 〈 λ 〈 0, T exhibits complex behavior, namely T has one maximum with the multiplicative noise intensity D and its self-correlation time τ1 increasing.

关 键 词：色噪声 肿瘤细胞增长系统 平均首通时间 瞬态性质 

分 类 号：O193[理学—数学]